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Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system

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arxiv 2201.01597 v1 pith:75HJOHJV submitted 2022-01-05 math.AP

Li Chen , Fucai Li , Yue Li , Nicola Zamponi This is my paper · ORCID
classification math.AP
keywords systemboundaryglobalsolutionsvlasov-poisson-fokker-planck-navier-stokesweakadiabaticarbitrary
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abstract

We consider the compressible Vlasov-Poisson-Fokker-Planck-Navier-Stokes system in a three dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The system describes the evolution of charged particles ensemble dispersed in an isentropic fluid. For the adiabatic coefficient $\gamma>3/2$, we establish the global existence of weak solutions to this system with arbitrary large initial and boundary data.

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